54720446105600 has 576 divisors, whose sum is σ = 150089035561920. Its totient is φ = 19619492659200.

The previous prime is 54720446105593. The next prime is 54720446105627. The reversal of 54720446105600 is 650164402745.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34264524002 + ... + 34264525598.

It is an arithmetic number, because the mean of its divisors is an integer number (260571242295).

Almost surely, 2^{54720446105600} is an apocalyptic number.

54720446105600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54720446105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75044517780960).

54720446105600 is an abundant number, since it is smaller than the sum of its proper divisors (95368589456320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54720446105600 is a wasteful number, since it uses less digits than its factorization.

54720446105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 54720446105600 in words is "fifty-four trillion, seven hundred twenty billion, four hundred forty-six million, one hundred five thousand, six hundred".